Search a number
-
+
120002210222000 = 2453239464954001
BaseRepresentation
bin11011010010010000110001…
…000111001100111110110000
3120201220002200100200221112112
4123102100301013030332300
5111212104011304101000
61103120130533344452
734163605431566111
oct3322206107147660
9521802610627475
10120002210222000
1135266719245767
1211561295498128
1351c62102c9c42
14218c1d080c208
15dd17ed6e1235
hex6d24311ccfb0

120002210222000 has 160 divisors (see below), whose sum is σ = 291447497952000. Its totient is φ = 47788876800000.

The previous prime is 120002210221997. The next prime is 120002210222003. The reversal of 120002210222000 is 222012200021.

It is an interprime number because it is at equal distance from previous prime (120002210221997) and next prime (120002210222003).

It is not an unprimeable number, because it can be changed into a prime (120002210222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222195000 + ... + 2222249000.

It is an arithmetic number, because the mean of its divisors is an integer number (1821546862200).

Almost surely, 2120002210222000 is an apocalyptic number.

120002210222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002210222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145723748976000).

120002210222000 is an abundant number, since it is smaller than the sum of its proper divisors (171445287730000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120002210222000 is a wasteful number, since it uses less digits than its factorization.

120002210222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58912 (or 58896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120002210222000 its reverse (222012200021), we get a palindrome (120224222422021).

The spelling of 120002210222000 in words is "one hundred twenty trillion, two billion, two hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 239 250 400 478 500 956 1000 1195 1912 2000 2390 3824 4649 4780 5975 9298 9560 11950 18596 19120 23245 23900 29875 37192 46490 47800 54001 59750 74384 92980 95600 108002 116225 119500 185960 216004 232450 239000 270005 371920 432008 464900 478000 540010 581125 864016 929800 1080020 1111111 1162250 1350025 1859600 2160040 2222222 2324500 2700050 4320080 4444444 4649000 5400100 5555555 6750125 8888888 9298000 10800200 11111110 12906239 13500250 17777776 21600400 22222220 25812478 27000500 27777775 44444440 51624956 54001000 55555550 64531195 88888880 103249912 108002000 111111100 129062390 138888875 206499824 222222200 251050649 258124780 277777750 322655975 444444400 502101298 516249560 555555500 645311950 1004202596 1032499120 1111111000 1255253245 1290623900 1613279875 2008405192 2222222000 2510506490 2581247800 3226559750 4016810384 5021012980 5162495600 6276266225 6453119500 10042025960 12552532450 12906239000 20084051920 25105064900 25812478000 31381331125 50210129800 60001105111 62762662250 100420259600 120002210222 125525324500 240004420444 251050649000 300005525555 480008840888 502101298000 600011051110 960017681776 1200022102220 1500027627775 2400044204440 3000055255550 4800088408880 6000110511100 7500138138875 12000221022200 15000276277750 24000442044400 30000552555500 60001105111000 120002210222000